112827010560 has 640 divisors, whose sum is σ = 406269997056. Its totient is φ = 26479165440.

The previous prime is 112827010537. The next prime is 112827010589. The reversal of 112827010560 is 65010728211.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 505950609 + ... + 505950831.

Almost surely, 2^112827010560 is an apocalyptic number.

112827010560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112827010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203134998528).

112827010560 is an abundant number, since it is smaller than the sum of its proper divisors (293442986496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112827010560 is a wasteful number, since it uses less digits than its factorization.

112827010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

Adding to 112827010560 its reverse (65010728211), we get a palindrome (177837738771).

The spelling of 112827010560 in words is "one hundred twelve billion, eight hundred twenty-seven million, ten thousand, five hundred sixty".